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Finding the Fourth Proportional to 1,610.29, 2,419.08 and 1,063.54

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Solution

The fourth proportional to 1,610.29, 2,419.08 and 1,063.54 is: 1,597.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610.29 : 2,419.08 = 1,063.54 : x
  2. Step 2: Convert to fraction form
    1,610.29/2,419.08 = 1,063.54/x
  3. Step 3: Cross multiply
    1,610.29x = 2,419.08 × 1,063.54
  4. Step 4: Simplify right side
    1,610.29x = 2,572,788.34
  5. Step 5: Solve for x
    x = 2,572,788.34/1,610.29
  6. Step 6: Final answer
    x = 1,597.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.